MS Pre-Algebra First Trimester Review Write a mathematical expression to represent the following statements: 1. Three less than the product of five and a number. 2. The sum of six and a number is 25. 3. The quotient of 8 and a number is five less than the same number. 4. Eight less than 25 times a number 5. Five more than 10 less than a number Evaluate Each Expression when x = 3, y = -2, and z = 10. 6. x + y + z
7. 2x – 3y + 5z
8. xy – z
9. x2 – y2
10. zy – xy
11. x ( y – z)
Solve. 12. 2x – 8 = 10
13. 3x – 7 = 2
14.
x 3
+ 4 = -1
15. 6x – 210 = 6
16. 6x – 2x – 3 – 5
17. 3y – 6 – 2y = 6
18. 11r – 2r – 12r = -39
19. 2x + 5x + (-3x) – 3 = 9
20. 3x + 2(x – 1) = 8
21. 3(t – 4) + 6 = 0
1
22. 16 = - 2 (q + 2)
23. -
1 7
(x – 11) = 2
24. x = 22 – (-12) + 3
25. x = 2 – 2 – 2 + (-2)
Simplify. 26. 4 ∙ 3 + 42
27. (3 + 2) ÷ 5 ∙ 23
28. 3 [ 24 ÷ 4 – 2 ]
29. 24 + 42 ∙ 6
30. [2 + 3(2) + 32] - 42
31. 64 ÷ (2)(8) + 12
32. (4 + 6) ÷ 2 + 52
33. [(42 + 2) ÷ 2 + 10] – 2
34. 3x + x
35. 3a + 5b + 6a
36. 3s + 2t + 8s + 4
37. 4a + 6a + 2a2
38. 3(y + 2) + 6y
39. 3(x + z) + 4(z + 2)
40. 2x + 2y + 6x
41. y + 2(y + 2)
Find the next two numbers in the sequence. 42. 2, 11, 20, 29, ____, ____ 43. 6, 30, 150, ____, ____ 44. 4, 12, 36, 108, ____, ____ 45. 5, 15, 25, ___, ____
Plot the points, connect the dots, and then name the shape that the point make. 46. (3, 0), (3, 4), and (-3, 4) 47. (0, 2), (-4, 2), and (3, 2) 48. (2, 4), (-2, 4), (-2, -4), and (2, -4) 49. (-2, 0), (1, 3), (4, 0), and (1, -3)
50. Use the following set of data: 15, 8, 9, 9, 8, 10, 8, 10, 12, 15, 20, 22, 25, 11
Mean =
51. 2 + 2 – 2
52. 2 + (-2) – 2 + 2
53. 2 – 2(2)(-2) -2(-2)
54. 2(-2)(-2) – 2
55. | -25 | =
56. | 25 | - | -25 |
57. - | 25 | - | 25 | =
58 | 25 | - | 25 | =